Sequences of point transformations and linear canonical transformations in classical and quantum mechanics

DOI10.1063/1.528531zbMath0693.70013OpenAlexW2045885049MaRDI QIDQ3468647

F. Leyvraz, Thomas H. Seligman

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528531

zbMATH Keywords

unitary representationscanonical linear transformationsSequences of point transformations

Mathematics Subject Classification ID

General quantum mechanics and problems of quantization (81S99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (4)

Quantum representation of a time-dependent quadratic Hamiltonian in a time-dependent phase space frame. ⋮ A unitary representation of SL(2,R) ⋮ CANONICAL TRANSFORMATIONS IN THREE-DIMENSIONAL PHASE-SPACE ⋮ QUANTUM CANONICAL TRANSFORMATIONS IN WEYL–WIGNER–GROENEWOLD–MOYAL FORMALISM

Cites Work

• Canonical transformations to action and angle variables and their representations in quantum mechanics. III: The general problem
• Partial isometries and quotient structures in Hilbert spaces
• On the structure of phase space
• Linear Canonical Transformations and Their Unitary Representations
• Comparison between the projection operator and continued fraction approaches to perturbation theory

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